Output tracking of piecewise-linear systems via error feedback regulator with application to synchronization of Nonlinear Chua's circuit

This paper considers the output tracking problem of general piecewise discrete-time linear systems via error feedback scheme. A number of sufficient conditions are obtained based on piecewise-quadratic Lyapunov functions in the framework of output regulation theory. The resulting closed-loop. system is guaranteed to be stable and the output tracking is achieved asymptotically. Moreover, the proposed piecewise-linear model based regulator has been successfully applied to the chaos synchronization of general nonlinear Chua's circuits. Simulation results are also given to illustrate the performance and advantages of the proposed approach.